Fault-free Hamiltonian cycles in twisted cubes with conditional link faults

  • Authors:
  • Jung-Sheng Fu

  • Affiliations:
  • Department of Electronic Engineering, National United University, Miaoli, Taiwan

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

The n-dimensional twisted cube, denoted by TQ"n, a variation of the hypercube, possesses some properties superior to the hypercube. In this paper, assuming that each vertex is incident with at least two fault-free links, we show that TQ"n can tolerate up to 2n-5 edge faults, while retaining a fault-free Hamiltonian cycle. The result is optimal with respect to the number of edge faults tolerated.